Given the electric field in the region E → = 2 x i ^ , find the net electric flux through the cube and the charge enclosed by it.

Only the faces perpendicular to the x-axis contribute towards the electric flux. The contribution from the remaining faces is zero. Flux through the left face, ϕ L = E S cos 180 ∘ = 2 ( 0 ) a 2 ( − 1 ) = 0 Flux through the right face, ϕ R = E S cos 0 ∘ = 2 a × a 2 × 1 = 2 a 3 ∴ Net flux through the cube, ϕ E = ϕ L + ϕ R = 2 a 3

E M B I B E

New Simplified Physics (Vol 1) For Class 12>Chapter 1 - Electric Charges and Field>Text Based Exercises>Q 5

EASY

12th CBSE

IMPORTANT

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Draw a graph of $E$ versus $r$ for $r >> a$ .

Important Questions on Electric Charges and Field

EASY

12th CBSE

IMPORTANT

New Simplified Physics (Vol 1) For Class 12>Chapter 1 - Electric Charges and Field>Text Based Exercises>Q 5

If this dipole were kept in a uniform external electric field

E_{0}

, diagrammatically represent the position of the dipole in stable and unstable equilibrium and write the expressions for the torque acting on the dipole in both the cases.

EASY

12th CBSE

IMPORTANT

New Simplified Physics (Vol 1) For Class 12>Chapter 1 - Electric Charges and Field>Text Based Exercises>Q 6

Define electric flux. Write its SI unit.

EASY

12th CBSE

IMPORTANT

New Simplified Physics (Vol 1) For Class 12>Chapter 1 - Electric Charges and Field>Text Based Exercises>Q 7

Use Gauss's theorem to find the electric field due to a uniformly charged infinitely large plane thin sheet with surface charge density

σ

.

EASY

12th CBSE

IMPORTANT

New Simplified Physics (Vol 1) For Class 12>Chapter 1 - Electric Charges and Field>Text Based Exercises>Q 8

State Gauss's law. Using this law, obtain the expression for the electric field due to an infinitely long straight conductor of linear charge density

λ

.

EASY

12th CBSE

IMPORTANT

New Simplified Physics (Vol 1) For Class 12>Chapter 1 - Electric Charges and Field>Text Based Exercises>Q 8

A wire

A B

of length

L

has linear charge density

λ = k x

, where

x

is measured from the end

A

of the wire. This wire is enclosed by a Gaussian hollow surface. Find the expression for the electric flux through this surface.

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IMPORTANT

New Simplified Physics (Vol 1) For Class 12>Chapter 1 - Electric Charges and Field>Text Based Exercises>Q 9

Use Gauss's law to prove that the electric field inside a uniformly charged spherical shell is zero.

EASY

12th CBSE

IMPORTANT

New Simplified Physics (Vol 1) For Class 12>Chapter 1 - Electric Charges and Field>Text Based Exercises>Q 9

Given the electric field in the region $\vec{E} = 2 x \hat{i}$ , find the net electric flux through the cube and the charge enclosed by it.

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EASY

12th CBSE

IMPORTANT

New Simplified Physics (Vol 1) For Class 12>Chapter 1 - Electric Charges and Field>Text Based Exercises>Q 10

Using Gauss's law, deduce the expression for the electric field due to a uniformly charged spherical conducting shell of radius $R$ at a point outside the shell.

Plot a graph showing variation of electric field as a function of $r > R$ and $r < R$ ( $r$ being the distance from the centre of the shell).